Least Common Multiple
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Question

Find the Least Common Multiple (LCM) of the numbers 48 and 45.

Answer

$48=({2}^{4})(3)$

$45=({3}^{2})(5)$

The LCM of 48 and 45 is the product of the largest powers of each prime factor in both.

Thus the LCM of 48 and 45

$=({2}^{4})({3}^{2})(5)$

$=720$